Worksheets: equations with brackets and fractionsEquations in one unknown · grades 7-8

A quiz in groups or a practice sheet on “Equations with brackets and fractions” - with an answer key, ready to print, free. You can combine it with other sections.

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Answer key · group A · for the teacher · sheet no. 204 517

Equations with brackets and fractions

1.63x − (x − 6) = 18 ;3x − x + 6 = 18 ;2x + 6 = 18 ;2x = 12

2.−35(x − 9) = 6(x − 7) ;5x − 45 = 6x − 42 ;−x − 45 = −42 ;−x = 3

3.−55(2x + 7) − 3x = 0 ;10x + 35 − 3x = 0 ;7x + 35 = 0 ;7x = −35

4.26(2x + 4) = 4(x + 10) ;12x + 24 = 4x + 40 ;8x + 24 = 40 ;8x = 16

5.−105(2x + 5) − 3x = −45 ;10x + 25 − 3x = −45 ;7x + 25 = −45 ;7x = −70

Maths worksheets · phiboard.com

Answer key

Quiz

Equations with brackets and fractions

GroupAB

Name Date Score / 18

1.Solve the equation:x − 74 = x − 135 + 1(3 pt)

2.Solve the equation:x − 86 = x + 42(3 pt)

3.Solve the equation:x5 − x + 152 = −3(3 pt)

4.Solve the equation:3x − 77 = x − 55(3 pt)

Maths worksheets · phiboard.com

Group B

Quiz

Equations with brackets and fractions

GroupAB

Name Date Score / 18

1.Solve the equation:x2 − x − 66 = 3(3 pt)

2.Solve the equation:x − 96 = x − 75(3 pt)

3.Solve the equation:2x + 73 − x5 = 0(3 pt)

4.Solve the equation:2x + 44 = x + 106(3 pt)

Maths worksheets · phiboard.com

Group A

Sheet settings

Quiz6 questions2 groups1 topic

Sheet no.204 517The number is only shown here and on the answer key - never on the student sheet. The same number with the same topics gives the same sheet.

answer key at the endall groups

Quiz

Equations with brackets and fractions

GroupAB

Name Date Score / 18

1.Solve the equation:x2 − x − 66 = 3(3 pt)

2.Solve the equation:x − 96 = x − 75(3 pt)

3.Solve the equation:2x + 73 − x5 = 0(3 pt)

4.Solve the equation:2x + 44 = x + 106(3 pt)

5.Solve the equation:2x + 53 − x5 = −3(3 pt)

6.Solve the equation:x − 42 = x − 147(3 pt)

Maths worksheets · phiboard.compage 10 of 10

Answer key · group A · for the teacher · sheet no. 204 517

Equations with brackets and fractions

1.63x − (x − 6) = 18 ;3x − x + 6 = 18 ;2x + 6 = 18 ;2x = 12

2.−35(x − 9) = 6(x − 7) ;5x − 45 = 6x − 42 ;−x − 45 = −42 ;−x = 3

3.−55(2x + 7) − 3x = 0 ;10x + 35 − 3x = 0 ;7x + 35 = 0 ;7x = −35

4.26(2x + 4) = 4(x + 10) ;12x + 24 = 4x + 40 ;8x + 24 = 40 ;8x = 16

5.−105(2x + 5) − 3x = −45 ;10x + 25 − 3x = −45 ;7x + 25 = −45 ;7x = −70

6.07(x − 4) = 2(x − 14) ;7x − 28 = 2x − 28 ;5x − 28 = −28 ;5x = 0

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

Quiz

Equations with brackets and fractions

GroupAB

Name Date Score / 18

1.Solve the equation:x − 74 = x − 135 + 1(3 pt)

2.Solve the equation:x − 86 = x + 42(3 pt)

3.Solve the equation:x5 − x + 152 = −3(3 pt)

4.Solve the equation:3x − 77 = x − 55(3 pt)

5.Solve the equation:2x − 203 − x5 = −2(3 pt)

6.Solve the equation:2x − 146 = x − 135(3 pt)

Maths worksheets · phiboard.compage 10 of 10

Answer key · group B · for the teacher · sheet no. 204 517

Equations with brackets and fractions

1.35(x − 7) = 4(x − 13) + 20 ;5x − 35 = 4x − 52 + 20 ;5x − 35 = 4x − 32 ;x − 35 = −32

2.−102(x − 8) = 6(x + 4) ;2x − 16 = 6x + 24 ;−4x − 16 = 24 ;−4x = 40

3.−152x − 5(x + 15) = −30 ;2x − 5x − 75 = −30 ;−3x − 75 = −30 ;−3x = 45

4.05(3x − 7) = 7(x − 5) ;15x − 35 = 7x − 35 ;8x − 35 = −35 ;8x = 0

5.105(2x − 20) − 3x = −30 ;10x − 100 − 3x = −30 ;7x − 100 = −30 ;7x = 70

6.−25(2x − 14) = 6(x − 13) ;10x − 70 = 6x − 78 ;4x − 70 = −78 ;4x = −8

The method lists the solution steps - handy when going through the sheet with the class.

Maths worksheets · phiboard.comsheet no. 999 999 · answer key, page 10 of 10

What goes on the sheet: equations with brackets and fractions

The generator draws questions from 2 question types in this topic. Every quiz group gets the same types in the same order, only with different numbers, and a practice sheet goes from easier to harder.

Equations with fractions
Equations in the form of a proportion

What the section covers in the curriculum: whether a number is a solution, solving linear equations, equations with brackets and fractions, rearranging formulas, word problems leading to equations

Students can also practise online - the same question types, with step-by-step solutions: Exercises: equations with brackets and fractions →

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